Small data blow-up of L^{2}-solution for the nonlinear Schr\"odinger equation without gauge invariance

Masahiro Ikeda; Yuta Wakasugi

arxiv: 1111.0178 · v3 · pith:WK4IAE6Anew · submitted 2011-11-01 · 🧮 math.AP

Small data blow-up of L²-solution for the nonlinear Schr\"odinger equation without gauge invariance

Masahiro Ikeda , Yuta Wakasugi This is my paper

classification 🧮 math.AP

keywords datablow-upequationinitialnonlinearodingerschrcondition

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We study the initial value problem for the nonlinear Schr\"odinger equation. We will prove that the blow-up of the L^{2}-norm of solutions with suitable initial data. We impose a condition related to the sign of the data but put no restriction on their size.

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Small data blow-up of L²-solution for the nonlinear Schr\"odinger equation without gauge invariance

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